How many vertices does a pentagonal dodecahedron have?

How many vertices does a pentagonal dodecahedron have?

Dodecahedron/Number of vertices

A regular dodecahedron or pentagonal dodecahedron is a dodecahedron that is regular, which is composed of 12 regular pentagonal faces, three meeting at each vertex. It is one of the five Platonic solids. It has 12 faces, 20 vertices, 30 edges, and 160 diagonals (60 face diagonals, 100 space diagonals).

How many vertices does a irregular dodecahedron have?

20 Vertices
Edges – A dodecahedron has 30 edges. Vertices – It has 20 Vertices (corner points), and at each vertex 3 edges meet. It has 160 diagonals. The sum of the angles at each vertex is, 3 x 108° = 324°.

How many triangles are in a dodecahedron?

The Truncated Dodecahedron has 20 equilateral triangular faces, and 12 regular decagonal faces. The 20 triangles come from the 20 cuts that were made at each vertex and are added to the 12 original dodecahedral faces to make 32 total faces. There are 60 Vertices and 90 Edges.

What is a shape with 16 vertices?

Polyhedra by vertex count

4 Tetrahedron triangular pyramid
15 Tetradecagonal pyramid Pentagonal cupola
Gyroelongated triangular cupola
16 Octagonal prism Triaugmented hexagonal prism

What is the difference between a Dodecagon and a dodecahedron?

A dodecagon is a polygon (do for two, deca for ten, “gon”) with 12 sides. A dodecahedron is a solid with 12 faces (similar to tetrahedron, 4 faces). A dodecahedron is a 3-dimensional regular solid having 12 congruent regular pentagons as its faces.

What does dodecahedron look like?

‘ So, a dodecahedron is a three-dimensional solid that has twelve flat faces. It also has straight edges and sharp vertices, or corners. He doesn’t just have twelve flat sides; each of his sides has a face with a different expression.

How many vertices are on a dodecahedron?

Dodecahedron/Number of vertices

What do you do after dodecahedron?

The 5 Platonic solids are called a tetrahedron, hexahedron, octahedron, dodecahedron and icosahedron with 4, 6, 8, 12, and 20 sides respectively.

What is an irregular dodecagon?

As per the properties of irregular polygons, irregular dodecagons have unequal sides or unequal angles.

What does a dodecahedron represent?

The dodecahedron is said to represent the universe; while the other four Platonic solids represent earth, fire, water and air, the five elements.

What does the dodecahedron represent?

What is the shape of the edges of a tetrated dodecahedron?

All edges of the tetrated dodecahedron have the same length, except for the shared bases of these isosceles triangles, which are approximately 1.07 times as long as the other edges. This polyhedron has tetrahedral symmetry .

How many vertices does a dodecahedron have?

Like the regular dodecahedron, it has twelve identical pentagonal faces, with three meeting in each of the 20 vertices. However, the pentagons are not regular and the figure has no fivefold symmetry axes. Although regular dodecahedra do not exist in crystals, the tetartoid form does.

What is the difference between dodecahedron and triakis tetrahedron?

The regular dodecahedron is a tetartoid with more than the required symmetry. The triakis tetrahedron is a degenerate case with 12 zero-length edges. (In terms of the colors used above this means, that the white vertices and green edges are absorbed by the green vertices.)

What is a tetragonal pentagonal dodecahedron called?

A tetartoid (also tetragonal pentagonal dodecahedron, pentagon-tritetrahedron, and tetrahedric pentagon dodecahedron) is a dodecahedron with chiral tetrahedral symmetry (T). Like the regular dodecahedron, it has twelve identical pentagonal faces, with three meeting in each of the 20 vertices.